Math / Geometry

Question2 Consider the paralelogram formed by the points $E(1,2,3), F(0,3,5), G(0,1,2)$ and $H$ . (a) Show how to find point $H$ if this point has a z-coord inate of 4 . 1 mark (b) Find $\angle F$ using vector concepts. (c) Find the area of $\triangle E F G$ using vector concepts.

Studdy Solution
H is at $(-1, 2, 4)$ .
Angle F is $\arccos\left(\frac{8}{\sqrt{78}}\right)$ .
The area of triangle EFG is $\frac{1}{2}\sqrt{14}$ .

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